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Finding the Fourth Proportional to 238.64, 329.28 and 140.36

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Solution

The fourth proportional to 238.64, 329.28 and 140.36 is: 193.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.64 : 329.28 = 140.36 : x
  2. Step 2: Convert to fraction form
    238.64/329.28 = 140.36/x
  3. Step 3: Cross multiply
    238.64x = 329.28 × 140.36
  4. Step 4: Simplify right side
    238.64x = 46,217.74
  5. Step 5: Solve for x
    x = 46,217.74/238.64
  6. Step 6: Final answer
    x = 193.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.